Physical World Units and Measurements - Result Question 49
50. A certain body weighs $22.42 gm$ and has a measured volume of $4.7 cc$. The possible error in the measurement of mass and volume are $0.01 gm$ and $0.1 cc$. Then maximum error in the density will be
(a) $22 %$
(b) $2 %$
(c) $0.2 %$
(d) $0.02 %$
[1991]
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Answer:
Correct Answer: 50. (b)
Solution:
- (b) Density, $D=\frac{Mass(M)}{Volume(V)}$
$\therefore \frac{\Delta D}{D}=\frac{\Delta M}{M}+\frac{\Delta V}{V}=(\frac{0.01}{22.42}+\frac{0.1}{4.7}) \times 100=2 %$
